672624426276 has 288 divisors, whose sum is σ = 1993621056000. Its totient is φ = 195795325440.

The previous prime is 672624426269. The next prime is 672624426277.

672624426276 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 2 + 4 + 4 + 2 + 627 + 6 = 666.

672624426276 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (672624426277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38188960 + ... + 38206568.

Almost surely, 2^672624426276 is an apocalyptic number.

672624426276 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672624426276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996810528000).

672624426276 is an abundant number, since it is smaller than the sum of its proper divisors (1320996629724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

672624426276 is a wasteful number, since it uses less digits than its factorization.

672624426276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17760 (or 17741 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 672624426276 in words is "six hundred seventy-two billion, six hundred twenty-four million, four hundred twenty-six thousand, two hundred seventy-six".